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Fano -- Fano scheme

Fano(k,I,GR) or Fano(k,I) -- computes the ideal of a Fano scheme in the Grassmannian.

Given an ideal I representing a projective variety X in P^r, a positive integer k<r, and optionally a ring GR with (exactly) r+1 choose k+1 variables, representing the ambient space of the Grassmannian of k-planes in P^r, this routine returns the ideal in GR of the Fano scheme that parametrizes the k-planes lying on X. If the optional third argument is not present, the routine fabricates its own ring, and returns an ideal in it.

Ways to use Fano :

  • Fano(ZZ,Ideal)
  • Fano(ZZ,Ideal,Ring)

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